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Simplifying 5x + 9 + -4x = 7 + 2x + -5 Reorder the terms: 9 + 5x + -4x = 7 + 2x + -5 Combine like terms: 5x + -4x = 1x 9 + 1x = 7 + 2x + -5 Reorder the terms: 9 + 1x = 7 + -5 + 2x Combine like terms: 7 + -5 = 2 9 + 1x = 2 + 2x Solving 9 + 1x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 1x + -2x = 2 + 2x + -2x Combine like terms: 1x + -2x = -1x 9 + -1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -1x = 2 + 0 9 + -1x = 2 Add '-9' to each side of the equation. 9 + -9 + -1x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 2 + -9 -1x = 2 + -9 Combine like terms: 2 + -9 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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